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QUALITATIVE PROPERTIES OF MATRICES APPEARING IN SEVERAL MATHEMATICAL MODELS

QUALITATIVE PROPERTIES OF MATRICES APPEARING IN SEVERAL MATHEMATICAL MODELS
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摘要 There are several mathematical models which involve the n by n tridiagonal matrix J_n,where the elements in the main diagonal are equal to 2,and the elements in the sub-andthe super-diagonals are equal to—1.These models include heat diffusion in compartmen-tal systems,steady state temperature distribution,discrete time oscillator,discrete loadedstring in equilibrium,loaded vibrated string,mechanical systems consisting of
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